Quiz3-TCS-5A-

Create a colorful illustration depicting a graph with nodes and edges, highlighting paths and minimum cuts, in an educational and engaging style.

Graph Algorithms Quiz

Welcome to the Graph Algorithms Quiz! Test your knowledge on edge disjoint paths, minimum cuts, and algorithm efficiency as you navigate through various questions. This quiz is designed for those interested in deepening their understanding of graph theory and related algorithms.

Key Features:

11 engaging questions
Multiple choice format
Test your expertise in graph algorithms

11 Questions3 MinutesCreated by ExploringGraph92

To find the all pair shortest paths in a graph using super vertex, we add some figure to the edge weights when

So that relative weights remain same

Dikjistra algorithm cannot run on negative weights

Which of the following can be found using minimum cut?

Edge disjoint paths

Edges needed to be removed

Minimum number of edge disjoint paths

All of these

For a graph with 3 vertices and 10 edges, the time to find 2 number of edge disjoint paths, the path finder will take time?

Considering the above diagram, if algo 5.2, 5.1 run, and find a pink path and then, green path, the minimum cut will include which of the following vertices

0,4,3

0,1,4

0,3

0,4

If the size of the minimum cut in the original graph is 3 , and its size is 2 in the resultant graph of algorithms 5.2 and 5.1 it implies:

There are 2 number of edges reversed

2 edge disjoint paths have been discovered

1 edge disjoint path has been discovered

Gives incomplete information.

After applying algo 5.2, the graph will never be disjoint even if we remove the edges that are cut by minimum cut.

True

False

All the vertices reachable from source vertex are kept in one set, and remaining in other set, this is done to?

To find the remaining path from source vertex

To find the minimum cut

To find the edge disjoint path

We will know that there are no edge disjoint paths left for algo 5.2 to discover when

Size of minimum cut is smaller than the size of minimum cut in resultant graph

Size of minimum cut is greater than size of minimum cut in resultant graph

When there are no more edges going out of the cut in resultant graph

When the edges cut in original graph is 4 in original graph, and the total edge disjoint paths discovered are 2, it implies

The cut is the minimum cut

There are 3 edge disjoint paths discovered

There are 4 edge disjoint paths

If the size of the minimum cut in original graph is 3, the pseudo edge disjoint path discovered in Resultant Graph F will be

Can be more than 3

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Quiz3-TCS-5A-

Graph Algorithms Quiz

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